Finding the Third Proportional to 34,404 and 75,288

Step by Step Solution

1. Step 1: Write the proportion equation
   34,404 : 75,288 = 75,288 : x
2. Step 2: Convert to fraction form
   34,404/75,288 = 75,288/x
3. Step 3: Cross multiply
   34,404x = 75,288 × 75,288
4. Step 4: Simplify right side
   34,404x = 5,668,282,944
5. Step 5: Solve for x
   x = 5,668,282,944/34,404
6. Step 6: Final answer
   x = 164,756.51